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Finding the Fourth Proportional to 9,916.44, 14,874.42 and 2,896.17

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Solution

The fourth proportional to 9,916.44, 14,874.42 and 2,896.17 is: 4,344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.44 : 14,874.42 = 2,896.17 : x
  2. Step 2: Convert to fraction form
    9,916.44/14,874.42 = 2,896.17/x
  3. Step 3: Cross multiply
    9,916.44x = 14,874.42 × 2,896.17
  4. Step 4: Simplify right side
    9,916.44x = 43,078,848.97
  5. Step 5: Solve for x
    x = 43,078,848.97/9,916.44
  6. Step 6: Final answer
    x = 4,344.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.